Given:
[tex](3,3),(6,9)[/tex]
To find:
The slope-intercept form of the line and graph.
Explanation:
Using the two-point formula,
[tex]\begin{gathered} \frac{y-y_1}{y_2-y_1}=\frac{x-x_1}{x_2-x_1} \\ \frac{y-3}{9-3}=\frac{x-3}{6-3} \\ \frac{y-3}{6}=\frac{x-3}{3} \\ y-3=2(x-3) \\ y=2x-6+3 \\ y=2x-3 \end{gathered}[/tex]
Therefore, the slope-intercept form of the line is,
[tex]y=2x-3[/tex]
The graph is,
Final answer:
The slope-intercept form of the line is,
[tex]y=2x-3[/tex]
